Math 374: Differential Equations

Spring 2020


Preparing a course schedule is typically an exercise in fiction-writing. However, we hope to roughly follow this schedule:

Date Lecture Notes Assigned Reading
Week 1
1/27 Introduction and Basic Definitions Notes Section 1.1
1/29 Initial Value Problems, Models Sections 1.2, 1.3
Week 2
2/3 First order differential equations Notes Section 2.1
2/5 Seperable equations Section 2.2
Week 3
2/10 Linear Equations Section 2.3
2/12 Exact Equations Notes Section 2.4
Week 4
2/17 Substitutions Notes Section 2.5
2/19 Numerical Methods Section 2.6
Week 5
2/24 Linear Models Section 3.1
2/26 Nonlinear Models and systems of First Order DEs Section 3.2 and 3.3
Week 6
3/2 Midterm
3/4 Nonlinear Models and systems of First Order DEs Section 3.2 and 3.3
Week 7
3/9 Preliminary Theory - Linear Higher Order DEs Notes Section 4.1
3/11 CANCELLED
Spring Break
Week 8
3/23 Review Linear Equations, Reduction of Order Section 4.2
3/25 Homogeneous Linear Equations with Constant Coefficients Section 4.3
Week 9
3/30 Undetermined Coefficients - Superposition Approach Section 4.4
4/1 Variation of Parameters Notes Section 4.6
Week 10
4/6 Cauchy-Euler Equation Section 4.7
4/8 Systems of Linear DE's by elimination and Nonlinear DEs Sections 4.9 and 4.10
Week 11
4/13 Modeling with Higher-Order DEs Notes Section 5.1
4/15 Modeling with Higher-Order DEs Sections 5.2 and 5.3
Week 12
4/20 Notes
4/22 Midterm Exam 2
Week 13
4/27 Notes
4/29 Notes
Week 14
5/4
5/6
Week 15
5/11
5/13 Final Exam